100434000000334 has 64 divisors (see below), whose sum is σ = 203944346790912. Its totient is φ = 36120119793120.

The previous prime is 100434000000329. The next prime is 100434000000421. The reversal of 100434000000334 is 433000000434001.

It is a super-2 number, since 2×100434000000334² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207058722 + ... + 207543205.

It is an arithmetic number, because the mean of its divisors is an integer number (3186630418608).

Almost surely, 2^{100434000000334} is an apocalyptic number.

100434000000334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100434000000334 is an abundant number, since it is smaller than the sum of its proper divisors (103510346790578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100434000000334 is a wasteful number, since it uses less digits than its factorization.

100434000000334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414601982 (or 414601960 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 100434000000334 its reverse (433000000434001), we get a palindrome (533434000434335).

It can be divided in two parts, 100 and 434000000334, that added together give a palindrome (434000000434).

The spelling of 100434000000334 in words is "one hundred trillion, four hundred thirty-four billion, three hundred thirty-four", and thus it is an aban number.